Question

Find (2√3+3√2)(5√3-√2)​

Answer 1

Answer:

24 - 13√6

Step-by-step explanation:

= 2√3*5√3 - 2√3*√2 + 3√2*5√3 - 3√2*√2

= 10*3 - 2√6 + 15√6 - 3*2

= 30 + 13√6 -6

= 24 - 13√6

ans

Answer 2

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TO EVALUATE

$(2√3+3√2)(5√3-√2)$

CALCULATION

$(2√3+3√2)(5√3-√2)$

$= (2 \sqrt{3} \times 5 \sqrt{3} ) - (2 \sqrt{3} \times \sqrt{2} ) + (3 \sqrt{2} \times 5 \sqrt{3} ) - (3 \sqrt{2} \times \sqrt{2)}$

$= 30 - 2 \sqrt{6} + 15 \sqrt{6} - 6$

$= 24 + 13 \sqrt{6}$